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Finding the Third Proportional to 42,102 and 67,095

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Solution

The third proportional to 42,102 and 67,095 is: 106,924.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,102 : 67,095 = 67,095 : x
  2. Step 2: Convert to fraction form
    42,102/67,095 = 67,095/x
  3. Step 3: Cross multiply
    42,102x = 67,095 × 67,095
  4. Step 4: Simplify right side
    42,102x = 4,501,739,025
  5. Step 5: Solve for x
    x = 4,501,739,025/42,102
  6. Step 6: Final answer
    x = 106,924.59

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.